204441952 has 96 divisors (see below), whose sum is σ = 484323840. Its totient is φ = 83704320.

The previous prime is 204441947. The next prime is 204441959. The reversal of 204441952 is 259144402.

204441952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204441959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196249 + ... + 197287.

It is an arithmetic number, because the mean of its divisors is an integer number (5045040).

Almost surely, 2^204441952 is an apocalyptic number.

204441952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204441952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242161920).

204441952 is an abundant number, since it is smaller than the sum of its proper divisors (279881888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204441952 is a wasteful number, since it uses less digits than its factorization.

204441952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 204441952 is about 14298.3199013031. The cubic root of 204441952 is about 589.1013341696.

The spelling of 204441952 in words is "two hundred four million, four hundred forty-one thousand, nine hundred fifty-two".